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Finding the Fourth Proportional to 647,568.40, 970,315.80 and 410,486.80

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Solution

The fourth proportional to 647,568.40, 970,315.80 and 410,486.80 is: 615,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,568.40 : 970,315.80 = 410,486.80 : x
  2. Step 2: Convert to fraction form
    647,568.40/970,315.80 = 410,486.80/x
  3. Step 3: Cross multiply
    647,568.40x = 970,315.80 × 410,486.80
  4. Step 4: Simplify right side
    647,568.40x = 398,301,827,731.44
  5. Step 5: Solve for x
    x = 398,301,827,731.44/647,568.40
  6. Step 6: Final answer
    x = 615,072.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.